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Finding the Fourth Proportional to 803.92, 1,109.88 and 555.16

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Solution

The fourth proportional to 803.92, 1,109.88 and 555.16 is: 766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.92 : 1,109.88 = 555.16 : x
  2. Step 2: Convert to fraction form
    803.92/1,109.88 = 555.16/x
  3. Step 3: Cross multiply
    803.92x = 1,109.88 × 555.16
  4. Step 4: Simplify right side
    803.92x = 616,160.98
  5. Step 5: Solve for x
    x = 616,160.98/803.92
  6. Step 6: Final answer
    x = 766.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.